Greatest Common Factor of 2492 and 2494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 2492, 2494 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2492 and 2494 is 2.

GCF(2492,2494) = 2

GCF of 2492 and 2494

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 2492 and 2494

GCF of 2492 and 2494 is 2

Prime Factorization of 2492


2 2492
2 1246
7 623
89 89
1

Prime factors of 2492 are 2,7,89. Prime factorization of 2492 in exponential form is:

2492 = 22×71×891

Prime Factorization of 2494


2 2494
29 1247
43 43
1

Prime factors of 2494 are 2,29,43. Prime factorization of 2494 in exponential form is:

2494 = 21×291×431

∴ So by taking common prime factors GCF of 2492 and 2494 is 2

Greatest Common Factor of 2492 and 2494 by matching factors method

Factors of 2492

List of positive integer factors of 2492 that divides 2492 without a remainder.

1,2,4,7,14,28,89,178,356,623,1246,2492

Factors of 2494

List of positive integer factors of 2494 that divides 2494 without a remainder.

1,2,29,43,58,86,1247,2494

Greatest Common Factor

We found the factors and prime factorization of 2492 and 2494. The biggest common factor number is the GCF number.
So the greatest common factor 2492 and 2494 is 2.

Also check out the Least Common Multiple of 2492 and 2494

Properties of GCF 2492 and 2494

(i) The GCF of 2492 and 2494 is associative

GCF of 2492 and 2494 = GCF of 2494 and 2492

Related Greatest Common Factor of 2492

Related Greatest Common Factor of 2494

Frequently Asked Questions on GCF of 2492 and 2494

1. What is the GCF of 2492 and 2494?

Answer: GCF of 2492 and 2494 is 2.

2. What are the Factors of 2492?

Answer: Factors of 2492 are 1, 2, 4, 7, 14, 28, 89, 178, 356, 623, 1246, 2492. There are 12 integers that are factors of 2492. The greatest factor of 2492 is 2492.

3. What are the Factors of 2494?

Answer: Factors of 2494 are 1, 2, 29, 43, 58, 86, 1247, 2494. There are 8 integers that are factors of 2494. The greatest factor of 2494 is 2494.

4. How to Find the GCF of 2492 and 2494?

Answer:

Greatest Common Factor of 2492 and 2494 = 2

Step 1: Find the prime factorization of 2492

2492 = 2 x 2 x 7 x 89

Step 2: Find the prime factorization of 2494

2494 = 2 x 29 x 43

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 2492 and 2494 is 2